Peralta, 38, has been one of the most reliable relievers in the American League over the past four years with the Rays. While leading the majors with 296 appearances, he had a 3.58 ERA, 1.05 WHIP and 9.8 strikeouts per nine innings over the past four seasons.

Peralta (who originally broke into the major leagues with the Angels in 2005) is under contract for $2.5 million next season. That means the Dodgers now have 16 players under contract for 2015 at salaries totalling $191 million.

Liberatore, 27, was a 21st-round draft pick of the Rays in 2010. He was 6-1 with a 1.66 ERA and 86 strikeouts in 65 innings at Triple-A Durham last year. Particularly strong against left-handed batters (a .175 average and just one home run allowed in 263 plate appearances over the past three seasons), Liberatore could be a candidate to make the Dodgers’ bullpen next season as a second left-hander alongside J.P. Howell.

Also Thursday, the Dodgers lost left-hander Onelki Garcia on waivers to the Chicago White Sox and added right-handers Zach Lee and Chris Reed and outfielder Scott Schebler to their 40-man roster. The moves protect Lee, Reed and Schebler from the Rule 5 draft next month.